TSTP Solution File: GEO067-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO067-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:38:05 EDT 2023
% Result : Unsatisfiable 7.78s 2.81s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 24
% Syntax : Number of formulae : 44 ( 15 unt; 16 typ; 0 def)
% Number of atoms : 50 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 28 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 10 >; 31 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-6 aty)
% Number of variables : 32 (; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > colinear > between > continuous > inner_pasch > euclid2 > euclid1 > insertion > extension > reflection > #nlpp > z > y > x > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(lower_dimension_point_1,type,
lower_dimension_point_1: $i ).
tff(euclid2,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(x,type,
x: $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(colinear,type,
colinear: ( $i * $i * $i ) > $o ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
tff(y,type,
y: $i ).
tff(extension,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(reflection,type,
reflection: ( $i * $i ) > $i ).
tff(z,type,
z: $i ).
tff(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(insertion,type,
insertion: ( $i * $i * $i * $i ) > $i ).
tff(inner_pasch,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_461,axiom,
! [U,V] : between(U,U,V),
file(unknown,unknown) ).
tff(f_780,axiom,
! [U,W,V] :
( ~ between(U,W,V)
| colinear(U,V,W) ),
file(unknown,unknown) ).
tff(f_446,axiom,
! [U,V] : between(U,V,V),
file(unknown,unknown) ).
tff(f_775,axiom,
! [W,V,U] :
( ~ between(W,V,U)
| colinear(U,V,W) ),
file(unknown,unknown) ).
tff(f_822,axiom,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ( x = y ) ),
file(unknown,unknown) ).
tff(f_805,axiom,
! [U,V,W] :
( ~ colinear(U,V,W)
| colinear(W,U,V) ),
file(unknown,unknown) ).
tff(f_795,axiom,
! [U,V,W] :
( ~ colinear(U,V,W)
| colinear(V,W,U) ),
file(unknown,unknown) ).
tff(f_833,axiom,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file(unknown,unknown) ).
tff(c_104,plain,
! [U_179,V_180] : between(U_179,U_179,V_180),
inference(cnfTransformation,[status(thm)],[f_461]) ).
tff(c_178,plain,
! [U_321,V_323,W_322] :
( colinear(U_321,V_323,W_322)
| ~ between(U_321,W_322,V_323) ),
inference(cnfTransformation,[status(thm)],[f_780]) ).
tff(c_98,plain,
! [U_170,V_171] : between(U_170,V_171,V_171),
inference(cnfTransformation,[status(thm)],[f_446]) ).
tff(c_176,plain,
! [U_320,V_319,W_318] :
( colinear(U_320,V_319,W_318)
| ~ between(W_318,V_319,U_320) ),
inference(cnfTransformation,[status(thm)],[f_775]) ).
tff(c_194,plain,
( ( y = x )
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(cnfTransformation,[status(thm)],[f_822]) ).
tff(c_2996,plain,
~ colinear(x,x,y),
inference(splitLeft,[status(thm)],[c_194]) ).
tff(c_2999,plain,
~ between(y,x,x),
inference(resolution,[status(thm)],[c_176,c_2996]) ).
tff(c_3018,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_2999]) ).
tff(c_3020,plain,
colinear(x,x,y),
inference(splitRight,[status(thm)],[c_194]) ).
tff(c_188,plain,
! [W_338,U_336,V_337] :
( colinear(W_338,U_336,V_337)
| ~ colinear(U_336,V_337,W_338) ),
inference(cnfTransformation,[status(thm)],[f_805]) ).
tff(c_3031,plain,
colinear(y,x,x),
inference(resolution,[status(thm)],[c_3020,c_188]) ).
tff(c_184,plain,
! [V_331,W_332,U_330] :
( colinear(V_331,W_332,U_330)
| ~ colinear(U_330,V_331,W_332) ),
inference(cnfTransformation,[status(thm)],[f_795]) ).
tff(c_3032,plain,
colinear(x,y,x),
inference(resolution,[status(thm)],[c_3020,c_184]) ).
tff(c_3019,plain,
( ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ( y = x ) ),
inference(splitRight,[status(thm)],[c_194]) ).
tff(c_3165,plain,
y = x,
inference(demodulation,[status(thm),theory(equality)],[c_3031,c_3032,c_3019]) ).
tff(c_3166,plain,
colinear(x,x,x),
inference(demodulation,[status(thm),theory(equality)],[c_3165,c_3032]) ).
tff(c_196,plain,
( ~ colinear(x,z,y)
| ~ colinear(y,x,x)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
inference(cnfTransformation,[status(thm)],[f_833]) ).
tff(c_4682,plain,
~ colinear(x,z,x),
inference(demodulation,[status(thm),theory(equality)],[c_3166,c_3165,c_3166,c_3165,c_3166,c_3165,c_3165,c_196]) ).
tff(c_4688,plain,
~ between(x,x,z),
inference(resolution,[status(thm)],[c_178,c_4682]) ).
tff(c_4705,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104,c_4688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO067-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 4 00:36:48 EDT 2023
% 0.15/0.35 % CPUTime :
% 7.78/2.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.78/2.81
% 7.78/2.81 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.78/2.84
% 7.78/2.84 Inference rules
% 7.78/2.84 ----------------------
% 7.78/2.84 #Ref : 0
% 7.78/2.84 #Sup : 1117
% 7.78/2.84 #Fact : 0
% 7.78/2.84 #Define : 0
% 7.78/2.84 #Split : 1
% 7.78/2.84 #Chain : 0
% 7.78/2.84 #Close : 0
% 7.78/2.84
% 7.78/2.84 Ordering : KBO
% 7.78/2.84
% 7.78/2.84 Simplification rules
% 7.78/2.84 ----------------------
% 7.78/2.84 #Subsume : 72
% 7.78/2.84 #Demod : 620
% 7.78/2.84 #Tautology : 633
% 7.78/2.84 #SimpNegUnit : 8
% 7.78/2.84 #BackRed : 3
% 7.78/2.84
% 7.78/2.84 #Partial instantiations: 0
% 7.78/2.84 #Strategies tried : 1
% 7.78/2.84
% 7.78/2.84 Timing (in seconds)
% 7.78/2.84 ----------------------
% 7.78/2.84 Preprocessing : 0.73
% 7.78/2.84 Parsing : 0.30
% 7.78/2.84 CNF conversion : 0.05
% 7.78/2.84 Main loop : 0.99
% 7.78/2.84 Inferencing : 0.32
% 7.78/2.84 Reduction : 0.32
% 7.78/2.84 Demodulation : 0.23
% 7.78/2.84 BG Simplification : 0.06
% 7.78/2.84 Subsumption : 0.25
% 7.78/2.84 Abstraction : 0.04
% 7.78/2.84 MUC search : 0.00
% 7.78/2.84 Cooper : 0.00
% 7.78/2.84 Total : 1.77
% 7.78/2.85 Index Insertion : 0.00
% 7.78/2.85 Index Deletion : 0.00
% 7.78/2.85 Index Matching : 0.00
% 7.78/2.85 BG Taut test : 0.00
%------------------------------------------------------------------------------